[[0,1,2,3,4,5,7,8,22,23,24,27,31,33,38,42,44,76,77,78,79,82,83,84,97,103,104,114,115,116,118,119,139,141,145,148,158,159,160,161,162,172,175,176,178,184,185,186,187,189,190,191,194,209,210,211,214,219,222,224,226,229,230,231,235,236,238,239,241,242,243,244,256,259,264,267,271,272,277,278,310,311,339,342,344,359,373,416,502,508,510,511,512,513,514,524,527,528,533,536,542,543,544,578,579,580,596,597,600,601,606,608,648,678,679,714,716,717,730,732,739,786,787,820,846,847,848,863,864,869,871,889,902,978,1054,1055,1094,1114,1138,1196,1224,1225,1228,1244,1245,1250,1254,1255,1257,1261,1262,1263,1272,1293,1315,1320,1326,1341,1342,1343,1345,1346,1349,1350,1351,1371,1372,1381,1382,1383,1456,1457,1460,1461,1462,1469,1472,1475,1504,1505,1506,1508,1510,1511,1512,1513,1526,1527,1534,1538,1540,1542,1546,1547,1548,1549,1550,1569,1572,1578,1580,1584,1586,1587,1590,1591,1593,1594,1606,1607,1610,1664,1757,1764,1765,1766,1785,1786,1789,1791,1814,1817,1821,1822,1823,1824,1847,1854,1877,1885,1905,1916,1917,1918,1930,1935,1938,1968,1972,1984,1988,2025,2040,2043],[6,11,12,28,35,36,39,40,47,63,71,80,81,85,95,101,102,110,112,117,120,123,136,137,138,140,146,153,165,174,181,188,197,215,216,217,221,228,232,233,234,237,245,246,248,249,255,261,262,263,265,266,268,273,275,279,280,297,312,315,329,334,343,346,347,362,363,364,365,369,370,396,414,437,455,467,503,505,506,509,515,516,518,523,529,530,532,534,535,537,538,539,540,545,581,582,583,594,595,610,611,638,644,649,650,652,667,669,673,676,677,682,697,709,712,715,742,788,790,791,805,807,815,818,819,850,861,862,866,873,899,909,958,974,975,980,983,1009,1039,1058,1107,1131,1139,1151,1152,1157,1215,1221,1226,1227,1256,1260,1282,1297,1302,1308,1310,1311,1322,1344,1347,1348,1352,1356,1357,1370,1373,1376,1378,1386,1390,1391,1414,1416,1423,1466,1467,1468,1471,1474,1507,1509,1514,1531,1532,1535,1541,1544,1545,1558,1559,1560,1571,1573,1576,1582,1585,1595,1611,1638,1650,1651,1652,1653,1662,1667,1670,1671,1673,1693,1721,1727,1730,1732,1749,1752,1754,1755,1759,1761,1762,1767,1768,1778,1779,1782,1784,1788,1790,1793,1807,1815,1816,1827,1829,1842,1845,1846,1848,1855,1856,1871,1875,1883,1886,1919,1920,1921,1932,1937,1940,1942,1974,1975,1976,1978,1986,1987,1989,1991,1997,2022,2023,2028,2029,2035,2041,2042,2046],[13,16,17,29,30,37,43,45,62,64,66,70,98,99,100,106,111,113,124,126,147,151,152,155,163,164,180,192,193,196,198,204,205,213,218,220,225,227,240,247,250,251,253,254,258,269,274,276,285,287,307,313,314,316,317,331,333,335,338,340,341,352,358,361,367,368,371,399,406,415,417,426,433,436,438,504,507,517,525,531,546,548,565,569,577,585,587,593,598,602,603,607,615,632,641,646,647,651,653,655,664,670,674,675,681,733,735,745,768,779,789,792,795,804,811,814,817,821,822,834,849,851,852,859,865,868,870,872,876,877,879,906,907,936,956,957,967,973,976,979,981,1010,1011,1013,1057,1059,1096,1097,1104,1112,1117,1120,1132,1136,1140,1141,1150,1153,1159,1184,1191,1192,1198,1203,1229,1235,1258,1264,1303,1321,1327,1328,1332,1338,1353,1361,1363,1374,1384,1385,1409,1413,1420,1424,1458,1459,1470,1473,1481,1502,1515,1516,1518,1525,1529,1530,1533,1537,1539,1543,1551,1552,1553,1555,1556,1557,1579,1583,1589,1592,1596,1600,1608,1618,1655,1666,1669,1672,1674,1675,1692,1695,1726,1731,1733,1735,1736,1737,1739,1747,1760,1769,1770,1777,1781,1787,1794,1800,1806,1820,1825,1837,1850,1851,1852,1853,1884,1887,1891,1892,1900,1903,1906,1922,1924,1931,1933,1934,1939,1941,1944,1946,1948,1958,1961,1962,1963,1969,1973,1995,1996,2024,2027],[10,15,25,26,34,41,48,49,50,51,52,67,72,74,75,86,89,105,109,121,125,143,149,156,166,167,179,202,207,223,252,257,282,296,301,303,305,319,327,336,337,345,348,350,351,374,375,376,387,388,392,398,420,465,468,470,476,488,490,496,498,499,519,520,526,541,547,552,554,564,567,572,576,584,586,599,604,609,613,621,622,623,634,635,636,637,643,654,656,657,666,668,671,672,680,684,685,688,696,699,703,705,708,713,722,723,724,731,754,774,794,810,816,823,838,855,867,874,875,878,880,898,900,901,903,910,911,923,929,935,938,959,969,982,984,986,988,989,990,994,997,999,1000,1002,1007,1014,1018,1019,1035,1041,1045,1053,1060,1061,1062,1079,1080,1082,1083,1099,1109,1111,1115,1118,1119,1121,1126,1127,1135,1137,1142,1143,1156,1158,1160,1165,1177,1186,1188,1190,1194,1200,1205,1210,1217,1218,1231,1232,1246,1247,1249,1259,1266,1279,1304,1307,1329,1333,1354,1355,1359,1362,1369,1375,1379,1380,1387,1389,1393,1394,1395,1396,1417,1419,1463,1478,1554,1561,1568,1570,1575,1581,1597,1599,1604,1614,1616,1640,1654,1694,1700,1706,1707,1724,1728,1734,1751,1773,1783,1792,1796,1799,1802,1809,1811,1812,1813,1818,1843,1858,1860,1869,1872,1873,1876,1878,1879,1880,1882,1888,1889,1907,1936,1943,1945,1947,1951,1960,1964,1966,1970,1979,1992,1994,2026,2036,2037,2044,2045,2047],[9,14,20,21,46,54,55,58,87,88,96,108,122,127,129,131,150,157,168,173,195,201,212,281,283,284,286,293,295,302,320,330,332,349,353,355,366,377,379,381,382,383,384,386,390,391,393,394,395,397,409,410,411,427,428,429,435,439,440,441,442,443,460,473,474,477,492,493,500,501,521,549,553,559,568,571,574,589,605,614,616,630,639,642,645,659,663,683,686,687,690,691,692,693,700,701,702,707,710,711,719,720,721,736,740,761,770,793,796,797,803,808,809,812,813,853,860,883,884,890,895,905,908,917,928,937,951,960,962,971,985,991,998,1001,1005,1006,1008,1012,1015,1016,1038,1042,1043,1044,1051,1052,1056,1063,1064,1065,1067,1089,1092,1095,1108,1116,1123,1128,1133,1134,1144,1145,1162,1166,1169,1181,1189,1195,1197,1209,1213,1223,1230,1233,1234,1237,1239,1248,1251,1253,1273,1274,1275,1284,1285,1287,1294,1298,1317,1323,1330,1358,1377,1388,1392,1403,1412,1422,1425,1426,1444,1455,1464,1477,1492,1500,1519,1522,1562,1564,1566,1574,1577,1588,1601,1613,1617,1619,1620,1626,1637,1644,1645,1647,1657,1658,1659,1663,1665,1668,1676,1679,1696,1697,1698,1708,1748,1750,1756,1758,1771,1772,1780,1798,1804,1808,1826,1828,1830,1857,1859,1862,1863,1864,1865,1870,1874,1881,1890,1913,1923,1926,1949,1950,1952,1955,1965,1967,1977,1998,2000,2001,2002,2003,2005,2010,2011,2016,2017,2019,2030,2031,2032,2038],[19,60,61,128,135,142,169,177,182,183,203,208,288,289,290,298,309,318,326,354,356,360,372,378,385,389,400,401,413,418,419,424,434,444,445,446,453,454,456,457,459,461,462,463,464,472,475,479,482,483,484,489,491,494,556,557,558,560,573,575,588,590,591,612,624,625,627,628,629,640,658,665,698,704,706,718,725,727,728,737,738,798,799,802,806,824,836,840,854,856,882,885,892,894,897,913,916,939,941,942,944,950,961,963,964,966,970,977,987,996,1017,1023,1025,1026,1027,1028,1033,1047,1048,1068,1073,1074,1075,1078,1087,1088,1100,1110,1122,1125,1129,1146,1148,1149,1163,1164,1167,1168,1171,1176,1180,1182,1183,1185,1187,1193,1201,1202,1204,1206,1207,1214,1216,1220,1236,1241,1252,1265,1277,1278,1283,1286,1301,1318,1331,1360,1365,1367,1397,1399,1407,1408,1410,1411,1415,1418,1421,1441,1465,1476,1479,1480,1483,1484,1485,1488,1491,1523,1528,1536,1563,1565,1567,1598,1603,1615,1622,1629,1634,1635,1636,1641,1643,1646,1656,1660,1677,1678,1680,1682,1683,1684,1689,1699,1702,1703,1704,1705,1716,1717,1738,1742,1743,1745,1763,1774,1795,1801,1803,1819,1831,1849,1861,1868,1896,1902,1909,1925,1927,1928,1953,1954,1959,1980,1981,1982,1990,1993,1999,2013,2014,2015,2033,2034],[32,53,56,57,59,107,144,154,171,199,200,206,260,270,292,299,300,304,306,308,321,322,357,380,402,403,404,405,421,422,423,425,430,432,448,449,452,466,469,471,481,487,497,550,551,555,561,566,592,617,618,619,620,626,631,633,660,661,689,729,734,741,744,746,747,748,749,750,753,756,759,764,765,769,771,772,773,776,784,800,827,839,843,881,886,893,896,904,914,926,932,943,945,946,948,954,955,965,992,995,1022,1030,1031,1032,1036,1037,1040,1046,1049,1050,1066,1069,1106,1113,1130,1147,1154,1155,1161,1170,1172,1173,1174,1179,1199,1208,1222,1238,1240,1242,1267,1268,1280,1281,1288,1290,1291,1340,1364,1366,1368,1398,1400,1401,1402,1405,1432,1434,1435,1436,1437,1442,1450,1487,1489,1494,1495,1497,1498,1501,1503,1517,1521,1602,1605,1621,1623,1625,1628,1630,1642,1648,1649,1661,1681,1685,1686,1688,1690,1691,1701,1709,1719,1740,1741,1776,1805,1810,1832,1833,1839,1840,1841,1866,1867,1893,1895,1898,1908,1910,1911,1912,1914,1929,1956,1957,1985,2006,2007,2018,2020,2039],[18,65,90,91,130,170,291,294,323,328,407,408,431,450,451,478,486,562,563,570,662,694,695,726,743,752,763,766,775,780,783,785,801,825,826,828,829,833,837,841,857,858,888,891,912,920,924,930,934,947,949,952,953,968,972,1020,1021,1024,1029,1070,1071,1072,1101,1102,1103,1105,1175,1178,1212,1219,1243,1269,1270,1271,1276,1289,1314,1324,1427,1428,1429,1431,1433,1443,1445,1449,1482,1486,1499,1520,1609,1624,1627,1631,1632,1633,1639,1687,1714,1715,1718,1729,1744,1753,1797,1834,1835,1838,1844,1894,1897,1901,1904,1971,2004,2012,2021],[68,73,92,93,94,132,133,134,324,325,412,447,480,522,751,755,757,760,762,781,782,832,842,844,887,915,922,925,927,933,940,993,1003,1004,1034,1098,1124,1211,1299,1309,1313,1339,1404,1406,1430,1448,1453,1454,1490,1496,1612,1710,1711,1712,1720,1746,1775,1836,1915,1983,2008,2009],[69,458,758,767,778,835,845,918,919,921,931,1076,1084,1085,1086,1090,1292,1300,1316,1325,1335,1439,1440,1446,1447,1451,1452,1493,1524,1713,1722,1725],[777,830,831,1077,1081,1093,1295,1296,1305,1319,1438,1723,1899],[485,495,1091,1306,1312,1334,1336,1337]]